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Simplifying -1(x + 3) + 5x = -2(x + -5) + 12 Reorder the terms: -1(3 + x) + 5x = -2(x + -5) + 12 (3 * -1 + x * -1) + 5x = -2(x + -5) + 12 (-3 + -1x) + 5x = -2(x + -5) + 12 Combine like terms: -1x + 5x = 4x -3 + 4x = -2(x + -5) + 12 Reorder the terms: -3 + 4x = -2(-5 + x) + 12 -3 + 4x = (-5 * -2 + x * -2) + 12 -3 + 4x = (10 + -2x) + 12 Reorder the terms: -3 + 4x = 10 + 12 + -2x Combine like terms: 10 + 12 = 22 -3 + 4x = 22 + -2x Solving -3 + 4x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 4x + 2x = 22 + -2x + 2x Combine like terms: 4x + 2x = 6x -3 + 6x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 6x = 22 + 0 -3 + 6x = 22 Add '3' to each side of the equation. -3 + 3 + 6x = 22 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 22 + 3 6x = 22 + 3 Combine like terms: 22 + 3 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667
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